Mehler kernel approach to Fourier ultra-hyperfunctions

Masanori Suwa

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we shall characterize the space of Fourier ultra-hyperfunctions by the Mehler kernel method. That is, we show that any Fourier ultra-hyperfunctions are characterized as initial values of the solutions of Hermite heat equation.

Original languageEnglish
JournalComplex Variables and Elliptic Equations
DOIs
Publication statusAccepted/In press - 2020

Keywords

  • 46F15
  • 46F20
  • Hermite heat equation
  • Hyperfunctions
  • Mehler kernel

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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